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Finding the Fourth Proportional to 70,976.32, 106,465.02 and 31,522.84

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Solution

The fourth proportional to 70,976.32, 106,465.02 and 31,522.84 is: 47,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976.32 : 106,465.02 = 31,522.84 : x
  2. Step 2: Convert to fraction form
    70,976.32/106,465.02 = 31,522.84/x
  3. Step 3: Cross multiply
    70,976.32x = 106,465.02 × 31,522.84
  4. Step 4: Simplify right side
    70,976.32x = 3,356,079,791.06
  5. Step 5: Solve for x
    x = 3,356,079,791.06/70,976.32
  6. Step 6: Final answer
    x = 47,284.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.